40449600 has 189 divisors, whose sum is σ = 146531203. Its totient is φ = 10583040.

The previous prime is 40449587. The next prime is 40449601. The reversal of 40449600 is 694404.

The square root of 40449600 is 6360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 40144896 = 552^2 + 6336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40449601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 763174 + ... + 763226.

Almost surely, 2^40449600 is an apocalyptic number.

40449600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40449600 is the 6360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40449600

40449600 is an abundant number, since it is smaller than the sum of its proper divisors (106081603).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40449600 is a wasteful number, since it uses less digits than its factorization.

40449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 40449600 is about 343.2717603054.

The spelling of 40449600 in words is "forty million, four hundred forty-nine thousand, six hundred".